There is no "margin of error". WAR is, was, and always meant to be an approximation, not a definitive value. That doesn't mean it isn't useful; it just means it isn't absolute. Is that really a flaw? That's like saying meteorology is flawed. I have heard the weatherman say "50% chance of rain." Well, it's either going to rain or it isn't. Should we disregard that entire field of science based on the weatherman being off by a full 50%?
WAR tries to take the unimaginable task of attempting to determine the overall contribution of a player. It hs many flaws. It uses a floating reference of a replacement player. It's projections into the future are pretty laughable. But the value of WAR doesn't and wasn't meant to directly translate to wins. But it does give some overall perspective of the value of one player as opposed to many other players many of us rarely if ever get to watch.
It's a tough concept to grasp because it isn't a concrete value like batting average. But then batting average is actually a pretty useless stat if you think about it. I mean, the definition of a "hit" is hardly universal. A player robbed of a home run doesn't get one, while the player who beats out the weak grounder does. but who was clearly the better hitter? Not to mention, all the players in MLB always fall into what is actually a very tight range. A .280 hitter, whom most fans think is good, only gets 4 more hits per 100 at-bats than a .240 hitter. That's maybe one hit per week. Why is the .280 hitter so revered over the .240 hitter? Especially when practically every player in the entire league will hit between .200 and .300. That small 10% range of success is so magnified by fans and sportswriters as if the differences are really of major significance.
But as batting average is a very simple concept, people grasp it and it is and will likely continue to be the most cited of all offensive statistics. And even I will continue to cite it as required, for those very reasons.
WAR has a few flaws, the least of which is the range. Like any value with a tolerance, the nominal value is the ideal one. For players too close within that range (which is never disclosed in the article you read, but only given as an example), it doesn't end the debate of who is better. It just adds fuel to it.
You claim it doesn't tell us anything we don't already know, but, really it does. For example. Khris Davis is on a home run tear and becoming a player some feel is a legitimate MVP candidate himself. But WAR says he is the fourth most significant position player on his team, behind Matt Chapman, Jed Lowrie and Marcus Semien. Whether he is really fourth or not, doesn't WAR tell you maybe his contributions beyond the home runs might not be so great? And maybe there is a better MVP candidate on that team?
And looking overall at the AL, is Jose Ramirez having a better season than Mookie? As of today, WAR says he is (8.2 fWAR vs 7.7 fWAR). That doesn't guarantee him the MVP, but it certainly helps his case. And like in Oaklamd, it is just a little bit of fuel for the debate...